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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
such that each is an isomorph-free subgroup of .
Effect of property operators
In terms of the subordination operator
This property is obtained by applying the subordination operator to the property: isomorph-free subgroup
View other properties obtained by applying the subordination operator
Relation with other properties
- Sub-(isomorph-normal characteristic) subgroup
- Left-transitively WNSCDIN-subgroup
- Characteristic subgroup
- Normal subgroup
This subgroup property is transitive: a subgroup with this property in a subgroup with this property, also has this property in the whole group.
ABOUT THIS PROPERTY: View variations of this property that are transitive | View variations of this property that are not transitive
ABOUT TRANSITIVITY: View a complete list of transitive subgroup properties|View a complete list of facts related to transitivity of subgroup properties |Read a survey article on proving transitivity